145943100625 has 135 divisors (see below), whose sum is σ = 221792018679. Its totient is φ = 95720184000.

The previous prime is 145943100593. The next prime is 145943100629. The reversal of 145943100625 is 526001349541.

The square root of 145943100625 is 382025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 48456776641 + 97486323984 = 220129^2 + 312228^2 .

It is not a de Polignac number, because 145943100625 - 2⁵ = 145943100593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145943100629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2473611846 + ... + 2473611904.

Almost surely, 2^145943100625 is an apocalyptic number.

145943100625 is the 382025-th square number.

145943100625 is the 191013-rd centered octagonal number.

It is an amenable number.

145943100625 is a deficient number, since it is larger than the sum of its proper divisors (75848918054).

145943100625 is an frugal number, since it uses more digits than its factorization.

145943100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 145943100625 in words is "one hundred forty-five billion, nine hundred forty-three million, one hundred thousand, six hundred twenty-five".